两分量Novikov方程的爆破准则和持续性
PDF下载 (268)陈 涵,严可欣,蒋先江.两分量Novikov方程的爆破准则和持续性[J].宁波大学学报(理工版),2023,36(3):36-42.DOI:
CHEN Han,YAN Kexin,JIANG Xianjiang.Blow-up criterion and persistence properties for a two-component Novikov system[J].Journal of Ningbo University(Natural Science & Engineering Edition),2023,36(3):36-42.DOI:
| Title: | Blow-up criterion and persistence properties for a two-component Novikov system |
| 作者: | 陈 涵, 严可欣, 蒋先江 |
| Author(s): | CHEN Han, YAN Kexin, JIANG Xianjiang |
| 关键词: | 两分量Novikov系统; 柯西问题; 爆破准则; 持续性 |
| Keywords: | two-component Novikov system; Cauchy problem; blow-up criterion; persistence properties |
| 分类号: | O175 |
| 文献标识码: | A |
| 摘要: | 研究了两分量Novikov系统柯西问题强解的两大性质, 该类方程组可以看作是Novikov方程的推广. 一方面, 利用一维线性运输方程相关性质和Morse-Type估计讨论该问题解的精准爆破, 得到新的爆破条件; 另一方面, 利用时频分析理论研究了方程组在权重空间上的持续性结论. |
| Abstract: | In this paper, we study two properties of strong solutions of Cauchy problem for integrable two-component Novikov system, which can be regarded as extension of Novikov equation. We present a precise blow-up scenario and some new blow-up results for strong solutions using one-dimensional transport equation and Morse-type estimates. Moreover, the persistence properties of the solutions to the system in weighted spaces are defined by making use of the approach in time-frequency analysis. |
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| 备注/Memo: | 收稿日期:2022-07-08.宁波大学学报（理工版）网址:http://journallg.nbu.edu.cn/ 基金项目:浙江省自然科学基金（LY22A010005）. 第一作者:陈涵（1998－）,女,浙江宁波人,在读硕士研究生,主要研究方向:可积系统.E-mail:354186140@qq.com *通信作者:蒋先江（1976－）,男,浙江象山人,讲师,主要研究方向:偏微分方程.E-mail:jiangxianjiang@nbu.edu.cn 宁波大学学报（理工版）网址：http://journallg.nbu.edu.cn/ |
